To find the median, place the given numbers in order of their value and find the middle number.
Here we have:
57, 61, 58, 54, 68, 51, 49, 64, 50, 48, 65, 52, 56, 46, 47, 55, 42, 60, 62, 43, 69, and 70.
Arranging them in order from least to greatest, we have:
42, 43, 46, 47, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 61, 62, 64, 65, 68, 69, and 70.
There are 22 numbers total; the median will be the mean of the middle two numbers, which are 55 and 56.
To find the mean, add the numbers together and divide the sum by 2.
55 + 56 = 111
111 / 2 = 55.5
The median of the ages of the US Presidents at the time of their inauguration is 55.5 years.
Answer:
Step-by-step explanation:
Formula: y=Mx+b
m is slope
b is y-intercept
Substitute your values:
y = -2x + 3
Answer:
![\sqrt[7]{x^{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E%7B4%7D%7D)

![(\sqrt[7]{x})^{4}](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7Bx%7D%29%5E%7B4%7D)
Step-by-step explanation:
we have

Remember the properties
![\sqrt[n]{a^{m}}=a^{\frac{m}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%7D%3Da%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D)

so
<u><em>Verify each case</em></u>
Part 1) we have
![\sqrt[4]{x^{7}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B7%7D%7D)
we know that
![\sqrt[4]{x^{7}}=x^{\frac{7}{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B7%7D%7D%3Dx%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D)
Compare with the given expression

Part 2) we have
![\sqrt[7]{x^{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E%7B4%7D%7D)
we know that
![\sqrt[7]{x^{4}}=x^{\frac{4}{7}}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E%7B4%7D%7D%3Dx%5E%7B%5Cfrac%7B4%7D%7B7%7D%7D)
Compare with the given expression

therefore
Is equivalent to the given expression
Part 3) we have

we know that

Compare with the given expression

therefore
Is equivalent to the given expression
Part 4) we have
we know that

Compare with the given expression

Part 5) we have
![(\sqrt[4]{x})^{7}](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7Bx%7D%29%5E%7B7%7D)
we know that
![(\sqrt[4]{x})^{7}=(x^{\frac{1}{4}})^{7}=x^{\frac{7}{4}}](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7Bx%7D%29%5E%7B7%7D%3D%28x%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%29%5E%7B7%7D%3Dx%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D)
Compare with the given expression

Part 6) we have
![(\sqrt[7]{x})^{4}](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7Bx%7D%29%5E%7B4%7D)
we know that
![(\sqrt[7]{x})^{4}=(x^{\frac{1}{7}})^{4}=x^{\frac{4}{7}}](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7Bx%7D%29%5E%7B4%7D%3D%28x%5E%7B%5Cfrac%7B1%7D%7B7%7D%7D%29%5E%7B4%7D%3Dx%5E%7B%5Cfrac%7B4%7D%7B7%7D%7D)
Compare with the given expression

therefore
Is equivalent to the given expression